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Finding the Fourth Proportional to 3,450, 5,172.84 and 2,278.56

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Solution

The fourth proportional to 3,450, 5,172.84 and 2,278.56 is: 3,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 5,172.84 = 2,278.56 : x
  2. Step 2: Convert to fraction form
    3,450/5,172.84 = 2,278.56/x
  3. Step 3: Cross multiply
    3,450x = 5,172.84 × 2,278.56
  4. Step 4: Simplify right side
    3,450x = 11,786,626.31
  5. Step 5: Solve for x
    x = 11,786,626.31/3,450
  6. Step 6: Final answer
    x = 3,416.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.